Best part is that Bob Haney, the writer, made exactly zero effort to explain which world this story takes place on (or how), what with his leads being Batman of Earth-1 and Wildcat of Earth-2. He gave no effs about nerd continuity issues.
Travis Morgon does eventually die in the final Warlord miniseries: killed by his son Joshua when he hesitates because he sees his watch on Joshua's arm. Boy that's a long story, after overthrowing the devil priest Demios, he and his mate Tara head for her home in Shamballa. Unfortunately they get separated and by the time he finds his way to Shamballa, she's given birth to their son who appears to be about six months old. She's put his wrist watch which he gave to her as a token of their love on the baby's arm. They leave to deal with some personal drama regarding the red haired Russian scientist he's been travelling with and when they come off the previously dead Demios is flying away with the baby on the back of a surfboard sized dragon. Morgan, Tara, and friends head off to rescue the child but Demios uses ancient Atlantean technology to force grow a clone of him and makes Morgan fight for his life. Morgon wins but believes he's killed his own son. He then runs out on Tara and their friends, has adventures, meets a cat/woman with whom he has adventures. But he becomes an embittered man, jaded and cynical about his own legend and he never really recovers from it. Meanwhile his son grows up, adopted by a kindly wood cutter. They cross paths a few times but Morgon never realizes his son is still alive until, once again he has to fight him to the death.
There's a reason I squeed when they went to the center of the Earth in Aquaman and there was an unblinking sun and dinosaurs.